Finding the Third Proportional to 1,999 and 2,062
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Solution
The third proportional to 1,999 and 2,062 is: 2,126.99
Step by Step Solution
- Step 1: Write the proportion equation
1,999 : 2,062 = 2,062 : x - Step 2: Convert to fraction form
1,999/2,062 = 2,062/x - Step 3: Cross multiply
1,999x = 2,062 × 2,062 - Step 4: Simplify right side
1,999x = 4,251,844 - Step 5: Solve for x
x = 4,251,844/1,999 - Step 6: Final answer
x = 2,126.99
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Why These Related Problems?
These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.